mollynelson494 mollynelson494
  • 23-05-2020
  • Mathematics
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Solve -x2/3 > 8 or -x2/3 < 4. {x | -12 < x < -6} {x | x < -12 or x > -6} {x | x > -12 or x < -6}

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 23-05-2020

Answer:

{x | x < -12 or x > -6}

Step-by-step explanation:

-x2/3 > 8 or -x2/3 < 4

Solve separately then put back together

-x2/3 > 8

Multiply each side by -3/2, remembering to flip the inequality

-2/3 x* -3/2< 8 * -3/2

x < -12

OR

-x2/3 < 4

Multiply each side by -3/2, remembering to flip the inequality

-3/2 * -2/3x > 4*-3/2

x > -6

Put back together

x< -12  OR  x> -6

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